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Year 5 Divisibility Rules Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 5 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Factors, Multiples & Primes

Year 5 Divisibility Rules Worksheet — Level 3 — Answers

Use the divisibility rules. For 3 and 9 add the digits; for 4 and 8 look at the last two or three digits.

1.53,974 is divisible by 9.

Answer: False

The digit sum is 28, which is not divisible by 9.

2.Which number is divisible by 4?
  1. A33,420
  2. B42,879
  3. C7,394
  4. D58,611

Answer: 33,420

The last two digits make 20, which is divisible by 4.

3.Find the missing digit so that 73 (answer space)20 is divisible by 9.

Answer: 6

  1. The digit sum is 18, which is divisible by 9.

Only the digit 6 works.

4.24,299 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 9 (odd) and the digit sum is 26 (not a multiple of 3).

5.Which number is divisible by 6?
  1. A81,470
  2. B67,471
  3. C35,292
  4. D9,958

Answer: 35,292

It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 21 (a multiple of 3).

6.Find the missing digit so that 5 (answer space)915 is divisible by 9.

Answer: 7

  1. The digit sum is 27, which is divisible by 9.

Only the digit 7 works.

7.43,969 is divisible by 9.

Answer: False

The digit sum is 31, which is not divisible by 9.

8.Which number is divisible by 8?
  1. A48,625
  2. B81,208
  3. C71,756
  4. D96,619

Answer: 81,208

The last three digits make 208, which is divisible by 8.

9.Find the missing digit so that 2 (answer space)086 is divisible by 9.

Answer: 2

  1. The digit sum is 18, which is divisible by 9.

Only the digit 2 works.

10.75,832 is divisible by 4.

Answer: True

The last two digits make 32, which is divisible by 4.

11.Which number is divisible by 8?
  1. A48,335
  2. B25,542
  3. C55,209
  4. D15,160

Answer: 15,160

The last three digits make 160, which is divisible by 8.

12.Find the missing digit so that 9359 (answer space) is divisible by 9.

Answer: 1

  1. The digit sum is 27, which is divisible by 9.

Only the digit 1 works.

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